Concepts of Calculus with Applications

Martha Goshaw's Concepts of Calculus with Applications uses a cheerful, student-friendly presentation to engage non-majors in the modern applied calculus course as they prepare for their future careers. The author draws from her many successful years in the classroom to bring calculus to life for students, preparing them with the calculus they will need without bogging them down with unnecessary topics and formality. Using meaningful examples and helpful text features, Goshaw reduces stress and maintains the relevance of the math to normal life. The content is organized into multiple topics, instead of a few chapters, allowing instructors to present material in easily manageable pieces. Each topic is preceded by Algebra Warm-up Exercises that let students refresh their algebra skills for the calculus being presented. The result is the ideal text for the modern applied calculus course.Intuitive organization organizes the text by Units andTopics, rather than chapters and sections, allows material to be presented in smaller pieces, making the entire book more accessible. Eye Openers: Applications begin each unit, showcasing upcoming material in a common-sense context. Each topic also starts with several relevant, real-life examples and includes a reminder of the algebra skills needed to fully understand the new concepts. Extensive Exercises help students assess their understanding, and then review concepts learned. Three kinds of exercises prepare students to learn: Warm Up exercises test and review the algebra and calculus skills students will need before delving into each topic. Answers follow immediately, helping students be fully prepared and confident before tackling new material. This just-in-time remediation solves the algebra-preparedness problem that frustrates many instructors. Check Your Understanding exercises follow the introduction of new concepts. They encourage students to check their mastery of one topic before moving to the next. Answers are provided at the end of the topic. Topic exercise sets conclude each topic and include skill-and-drill as well as application practice. Sharpen the Tools challenge students to assimilate different ideas within a single exercise. Calculator Connection exercises encourage the use of graphing calculators; Communicate questions require short written answers.Special Features boxes in the text highlight technology and mathematical theory. Calculator Corner boxes provide additional insight into the graphing calculator to expand on or demonstrate a topic Mathematics Corner boxes delve deeply into the mathematics of a concept for those who want advanced materialStudy Tools: Expertly inserted pedagogy provides tools and tips to help the student. Definitions, Rules, and Properties boxes are highlighted for ease of use Warnings alert students to commonly-made errors in calculations or in the application of a rule Tips offer a concise summary of a rule or property or provide hints on efficiently applying a rule or property Topic Review ends each topic with a list of concepts students need to understand before moving forward. Each with an example, they should be reviewed prior to starting the exercises. Each review concludes with New Tools in the Toolkit, a listing of the skills have mastered.